100554600100 has 36 divisors (see below), whose sum is σ = 220363934868. Its totient is φ = 39823600000.

The previous prime is 100554600089. The next prime is 100554600101. The reversal of 100554600100 is 1006455001.

It can be written as a sum of positive squares in 6 ways, for example, as 25020004 + 100529580096 = 5002^2 + 317064^2 .

It is a super-2 number, since 2×100554600100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100554600101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4967851 + ... + 4988050.

It is an arithmetic number, because the mean of its divisors is an integer number (6121220413).

Almost surely, 2^100554600100 is an apocalyptic number.

100554600100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100554600100 is an abundant number, since it is smaller than the sum of its proper divisors (119809334768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100554600100 is a wasteful number, since it uses less digits than its factorization.

100554600100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9956016 (or 9956009 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The spelling of 100554600100 in words is "one hundred billion, five hundred fifty-four million, six hundred thousand, one hundred".